---
_id: '2345'
abstract:
- lang: eng
  text: We give upper bounds for the number of spin-1/2 particles that can be bound
    to a nucleus of charge Z in the presence of a magnetic field B, including the
    spin-field coupling. We use Lieb's strategy, which is known to yield Nc &lt; 2Z
    + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction.
    For particles with fermionic statistics in a homogeneous magnetic field our upper
    bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. On the maximal ionization of atoms in strong magnetic fields.
    <i>Journal of Physics A: Mathematical and General</i>. 2001;34(9):1943-1948. doi:<a
    href="https://doi.org/10.1088/0305-4470/34/9/311">10.1088/0305-4470/34/9/311</a>'
  apa: 'Seiringer, R. (2001). On the maximal ionization of atoms in strong magnetic
    fields. <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing
    Ltd. <a href="https://doi.org/10.1088/0305-4470/34/9/311">https://doi.org/10.1088/0305-4470/34/9/311</a>'
  chicago: 'Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic
    Fields.” <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing
    Ltd., 2001. <a href="https://doi.org/10.1088/0305-4470/34/9/311">https://doi.org/10.1088/0305-4470/34/9/311</a>.'
  ieee: 'R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,”
    <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9. IOP Publishing
    Ltd., pp. 1943–1948, 2001.'
  ista: 'Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic
    fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.'
  mla: 'Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic
    Fields.” <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9,
    IOP Publishing Ltd., 2001, pp. 1943–48, doi:<a href="https://doi.org/10.1088/0305-4470/34/9/311">10.1088/0305-4470/34/9/311</a>.'
  short: 'R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.'
date_created: 2018-12-11T11:57:07Z
date_published: 2001-03-09T00:00:00Z
date_updated: 2023-05-30T12:37:44Z
day: '09'
doi: 10.1088/0305-4470/34/9/311
extern: '1'
external_id:
  arxiv:
  - math-ph/0006002
intvolume: '        34'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0006002
month: '03'
oa: 1
oa_version: None
page: 1943 - 1948
publication: 'Journal of Physics A: Mathematical and General'
publication_identifier:
  issn:
  - 0305-4470
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4580'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the maximal ionization of atoms in strong magnetic fields
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 34
year: '2001'
...
